Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-Williams Theorem
| dc.contributor.author | Avery, Richard I. | |
| dc.contributor.author | Davis, John M. | |
| dc.contributor.author | Henderson, Johnny | |
| dc.date.accessioned | 2019-12-11T15:20:16Z | |
| dc.date.available | 2019-12-11T15:20:16Z | |
| dc.date.issued | 2000-05-23 | |
| dc.description.abstract | We study the existence of solutions to the fourth order Lidstone boundary value problem y(4)(t) = ƒ(y(t), -y" (t)), y(0) = y"(0) = y"(1) = y(1) = 0. By imposing growth conditions on ƒ and using a generalization of the multiple fixed point theorem by Leggett and Williams, we show the existence of at least three symmetric positive solutions. We also prove analogous results for difference equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Avery, R. I., Davis, J. M., & Henderson, J. (2000). Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem. <i>Electronic Journal of Differential Equations, 2000</i>(40), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9048 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Lidstone boundary value problem | |
| dc.subject | Green's function | |
| dc.subject | Multiple solutions | |
| dc.subject | Fixed points | |
| dc.subject | Difference equation | |
| dc.title | Three Symmetric Positive Solutions for Lidstone Problems by a Generalization of the Leggett-Williams Theorem | |
| dc.type | Article |